100121111200 has 108 divisors (see below), whose sum is σ = 268660988190. Its totient is φ = 36407641600.

The previous prime is 100121111197. The next prime is 100121111201. The reversal of 100121111200 is 2111121001.

It can be written as a sum of positive squares in 3 ways, for example, as 44438326416 + 55682784784 = 210804^2 + 235972^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100121111201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 420355 + ... + 613954.

Almost surely, 2^100121111200 is an apocalyptic number.

100121111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121111200 is an abundant number, since it is smaller than the sum of its proper divisors (168539876990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100121111200 is a wasteful number, since it uses less digits than its factorization.

100121111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034351 (or 1034327 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100121111200 its reverse (2111121001), we get a palindrome (102232232201).

The spelling of 100121111200 in words is "one hundred billion, one hundred twenty-one million, one hundred eleven thousand, two hundred".